Least Common Multiple of 254, 508, 75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 254, 508, 75 i.e. 38100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 254, 508, 75 is 38100.

LCM(254, 508, 75) = 38100

LCM of 254, 508, 75

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 254,508,75

Least Common Multiple (LCM) of 254,508,75 is 38100

2 254, 508, 75
127 127, 254, 75
1, 2, 75

∴ So the LCM of the given numbers is 2 x 127 x 1 x 2 x 75 = 38100

Least Common Multiple of 254,508,75 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 254,508,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,508,75) = 1

common factors(in case of two or more numbers have common factors) = 254

GCF(254,508,75) x common factors =1 x 254 = 254

LCM(254,508,75) = ( 254 × 508 × 75 ) / 254

LCM(254,508,75) = 9677400 / 254

LCM(254,508,75) = 38100

∴ Least Common Multiple of 254,508,75 is 38100

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 254, 508, 75

1. What is the LCM of 254, 508, 75?

Answer: LCM of 254, 508, 75 is 38100.

2. What are the Factors of 38100?

Answer: Factors of 38100 are . There are integers that are factors of 38100

3. How to Find the LCM of 254, 508, 75 ?

Least Common Multiple of 254, 508, 75.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(254, 508, 75) = 2 x 2 x 3 x 5 x 5 x 127 = 38100.